Article ID Journal Published Year Pages File Type
724147 IFAC Proceedings Volumes 2006 6 Pages PDF
Abstract

This paper surveys some recent results about chaos induced by coupled-expanding maps. First, three typical definitions of chaos given by Li-Yorke, Devaney, and Wiggins, respectively, are introduced and compared. Then, several criteria of chaos induced by strictly coupled-expanding maps in compact sets of metric spaces and in noncompact sets of complete metric spaces, respectively, are presented. Finally, some examples are provided for illustration.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics